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3 years ago

A circle passes through the vertices of a square of side 20cm.Find the radius of the circle.

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

8 0

Answer:

14.1cm

Step-by-step explanation:

If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.

We use Pytagoras Theorem to find out the length (L) of the diagonal given that:

L² = (20)² + (20)²

L² = 2* (20)²

L = √2 * 20

L = 1,4142* 20

L = 28,28 cm

L diagonal in the square is a diameter of the circle then radius of a circle is:

r = L/2 ⇒ r = 28,28 /2 ⇒ r = 14,14 cm

algol133 years ago

3 0

Answer:

14,1 cm

Step-by-step explanation:

If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.

We use Pytagoras Theorem to find out the length (L) of the diagonal given that:

L² = (20)² + (20)²

L² = 2* (20)²

L = √2 * 20

L = 1,4142* 20

L = 28,28 cm

L diagonal in the square is a diameter of the circle then radius of a circle is:

r = L/2 ⇒ r = 28,28 /2 ⇒ r = 14,14 cm

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3 years ago

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NeX [460]

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Step-by-step explanation:

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3 years ago

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Anna007 [38]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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4 years ago